Question 881332
Let {{{ s }}} = Jane's speed in mi/hr
{{{ s + 4 }}} = Bob's speed in mi/hr
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For this problem, think of one of them
( either one ) as standing still and the other one 
travelling at the sum of their speeds
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{{{ 116 = ( s + s + 4 )*2 }}}
{{{ 4s + 8 = 116 }}}
{{{ 4s = 108 }}}
{{{ s = 27
{{{ s + 4 = 31 }}}
Bob is driving 31 mi/hr
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check:
Jane's equation:
{{{ d[1] = 27*2 }}}
{{{ d[1] = 54 }}} mi
and
Bob's equation:
{{{ d[2] = 31*2 }}}
{{{ d[2] = 62 }}}
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{{{ d[1] + d[2] = 54 + 62 }}}
{{{ d[1] + d[2] = 116 }}} mi
OK